P. Neff

activity

20112023

most citedExistence of minimizers in the geometrically non-linear 6-parameter resultant shell theory with drilling rotations

46 citations · 148 across the 26 of their papers we have counts for

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Showing 2020 · math.APShow all

7 papers · 2 filters

math.AP2020

Korn inequalities for incompatible tensor fields in three space dimensions with conformally invariant dislocation energy

Peter Lewintan, Stefan Müller, Patrizio Neff

Let $Ω \subset R^{3}$ be an open and bounded set with Lipschitz boundary and outward unit normal $ν$ . For $1 < p < \infty$ we establish an improved version of the generalized $L^…

math.AP2020

A constrained Cosserat shell model up to order $O (h^{5})$ : Modelling, existence of minimizers, relations to classical shell models and scaling invariance of the bending tensor

Ionel-Dumitrel Ghiba, Mircea Bîrsan, Peter Lewintan +1

We consider a recently introduced geometrically nonlinear elastic Cosserat shell model incorporating effects up to order $O (h^{5})$ in the shell thickness $h$ . We develop the corresp…

math.AP2020

A rank-one convex, non-polyconvex isotropic function on $GL^{+} (2)$ with compact connected sublevel sets

Jendrik Voss, Ionel-Dumitrel Ghiba, Robert J. Martin +1

According to a 2002 theorem by Cardaliaguet and Tahraoui, an isotropic, compact and connected subset of the group $GL^{+} (2)$ of invertible $2 \times 2 -$ matrices is ra…

math.AP2020★ 2 cited

Rank-one convexity vs. ellipticity for isotropic functions

Robert J. Martin, Jendrik Voss, Ionel-Dumitrel Ghiba +1

It is well known that a twice-differentiable real-valued function $W : GL^{+} (n) \to R$ on the group $GL^{+} (n)$ of invertible $n \times n -$ ma…

math.AP2020

Sharp rank-one convexity conditions in planar isotropic elasticity for the additive volumetric-isochoric split

Jendrik Voss, Ionel-Dumitrel Ghiba, Robert J. Martin +1

We consider the volumetric-isochoric split in planar isotropic hyperelasticity and give a precise analysis of rank-one convexity criteria for this case, showing that the Legendre-H…

math.AP2020★ 19 cited

The Legendre-Hadamard condition in Cosserat elasticity theory

Milad Shirani, David J. Steigmann, Patrizio Neff

The Legendre-Hadamard necessary condition for energy minimizers is derived in the framework of Cosserat elasticity theory.

Korn inequalities for incompatible tensor fields in three space dimensions with conformally invariant dislocation energy

A constrained Cosserat shell model up to order O(h5): Modelling, existence of minimizers, relations to classical shell models and scaling invariance of the bending tensor

A rank-one convex, non-polyconvex isotropic function on GL+(2) with compact connected sublevel sets

Rank-one convexity vs. ellipticity for isotropic functions

Sharp rank-one convexity conditions in planar isotropic elasticity for the additive volumetric-isochoric split

The Legendre-Hadamard condition in Cosserat elasticity theory

A constrained Cosserat shell model up to order $O (h^{5})$ : Modelling, existence of minimizers, relations to classical shell models and scaling invariance of the bending tensor

A rank-one convex, non-polyconvex isotropic function on $GL^{+} (2)$ with compact connected sublevel sets